Finding the Fourth Proportional to 284,226.06, 392,232.49 and 156,901.80
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Solution
The fourth proportional to 284,226.06, 392,232.49 and 156,901.80 is: 216,524.78
Step by Step Solution
- Step 1: Write the proportion equation
284,226.06 : 392,232.49 = 156,901.80 : x - Step 2: Convert to fraction form
284,226.06/392,232.49 = 156,901.80/x - Step 3: Cross multiply
284,226.06x = 392,232.49 × 156,901.80 - Step 4: Simplify right side
284,226.06x = 61,541,983,699.48 - Step 5: Solve for x
x = 61,541,983,699.48/284,226.06 - Step 6: Final answer
x = 216,524.78
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.